Mathematics · 2024
JEE Main · 30 January 2024, Shift 2 · Q11
For α, β ∈(0, π / 2), let 3 sin (α+β)=2 sin (α-β) and a real number k be such that tan α=k tan β. Then, the value of k is equal to
For $\displaystyle \alpha, \beta \in(0, \pi / 2)$, let $\displaystyle 3 \sin (\alpha+\beta)=2 \sin (\alpha-\beta)$ and a real number $\displaystyle k$ be such that $\displaystyle \tan \alpha=k \tan \beta$. Then, the value of $\displaystyle k$ is equal to
Official answer
From NTA’s final answer key for this paper.
(3)
$\displaystyle -5$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.